1378972800 has 144 divisors (see below), whose sum is σ = 4920593730. Its totient is φ = 367718400.

The previous prime is 1378972789. The next prime is 1378972807. The reversal of 1378972800 is 82798731.

It can be written as a sum of positive squares in 3 ways, for example, as 1256560704 + 122412096 = 35448^2 + 11064^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1378972807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4860 + ... + 52740.

Almost surely, 2^1378972800 is an apocalyptic number.

1378972800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1378972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460296865).

1378972800 is an abundant number, since it is smaller than the sum of its proper divisors (3541620930).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1378972800 is a wasteful number, since it uses less digits than its factorization.

1378972800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47911 (or 47891 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 1378972800 is about 37134.5230210380. The cubic root of 1378972800 is about 1113.0599764736.

The spelling of 1378972800 in words is "one billion, three hundred seventy-eight million, nine hundred seventy-two thousand, eight hundred".